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Simplifying 5(y + 2) + -3(2y + -5) = 25 Reorder the terms: 5(2 + y) + -3(2y + -5) = 25 (2 * 5 + y * 5) + -3(2y + -5) = 25 (10 + 5y) + -3(2y + -5) = 25 Reorder the terms: 10 + 5y + -3(-5 + 2y) = 25 10 + 5y + (-5 * -3 + 2y * -3) = 25 10 + 5y + (15 + -6y) = 25 Reorder the terms: 10 + 15 + 5y + -6y = 25 Combine like terms: 10 + 15 = 25 25 + 5y + -6y = 25 Combine like terms: 5y + -6y = -1y 25 + -1y = 25 Add '-25' to each side of the equation. 25 + -25 + -1y = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -1y = 25 + -25 -1y = 25 + -25 Combine like terms: 25 + -25 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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